The normal at the point `(bt_1^2, 2bt_1)` on the parabola `y^2 = 4bx` meets the parabola again in the point `(bt_2 ^2, 2bt_2,)` then

The normal at the point (bt_1^2, 2bt_1) on a parabola meets the parabola again in the point (bt_2^2, 2bt_2) then :

The normal at the point (bt_(1)^(2), 2bt_(1)) on a parabola meets the parabola again in the point (bt_(2)^(2), 2bt_(2)) , then :

The normal at the point (b t_(1)^(2), 2b t_(1)) on a parabola meets the parabola again in the point (b t_(2)^(2), 2b t_(2)) then

The normal at a point (bt_1^(2) , 2bt_1) on a parabola meets the parabola again in the point (bt_2^(2) , 2bt_2) then

If the normal at the point ( bt_(1)^(2), 2 bt_(1)) to the parabola y^(2)= 4bx meets it again at the point ( bt_(2)^(2), 2 bt_(2)) , then-

if the normal at the point t_(1) on the parabola y^(2) = 4ax meets the parabola again in the point t_(2) then prove that t_(2) = - ( t_(1) + 2/t_(1))